Pogba did not travel to East Lancashire with the rest of the squad at the weekend, after making substitute appearances against Watford and Newcastle United.
Those two cameos off the bench added up to around 70 minutes of action after almost three months out injured for the 26-year-old.
Solskjaer has indicated the midfielder simply required additional rest.
“When you’ve been out for such a while, it’s always going to take time to be 100 per cent,” Ole explained. “He just needed another day, probably, of recovery.”
Even with the festive period coming to an end, United still face a busy schedule to kick off 2020, starting with the trip to the Gunners.